Starfleet Command Staff College was a 23rd century institute of higher learning, a Starfleet Academy graduate college. (TOS reference: Star Fleet Technical Manual)
History and specifics[]
It was an arm of the Starfleet Education and Training Command charged with training of upper-level staff serving with Starfleet Command. (FASA RPG module: Star Trek IV Sourcebook Update)
The Command Staff College was overseen by a Starfleet officer designated as chief of the college who reported to the vice commandant of graduate colleges. The college and its personnel hierarchy were authorized under the Articles of the Federation, chapter 8, article 52, section 4. (TOS reference: Star Fleet Technical Manual)
In the 2270s and 2280s, Rear Admiral James T. Kirk's Operation Armageddon was considered as a replacement for numerous simulated combat exercises to serve as the primary war game used by students at the Staff College. (FASA RPG module: Star Trek IV Sourcebook Update)